Pith Number

pith:M2MCCTZ2

pith:2005:M2MCCTZ2FASMEEZCVWWVRFXFGN

not attested not anchored not stored refs pending

Inversion of adjunction on log canonicity

Masayuki Kawakita

arxiv:math/0511254 v2 · 2005-11-10 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2MCCTZ2FASMEEZCVWWVRFXFGN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T16:56:39.974489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6698214f3a2824c21322adad5896e5337cde9188825400b45f3c9c8cb2643698

Aliases

arxiv: math/0511254 · arxiv_version: math/0511254v2 · doi: 10.48550/arxiv.math/0511254 · pith_short_12: M2MCCTZ2FASM · pith_short_16: M2MCCTZ2FASMEEZC · pith_short_8: M2MCCTZ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M2MCCTZ2FASMEEZCVWWVRFXFGN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6698214f3a2824c21322adad5896e5337cde9188825400b45f3c9c8cb2643698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "221751a231d878607042173a59a7e27f34d8ecfb127117f161726cf278606c30",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-11-10T14:16:03Z",
    "title_canon_sha256": "930765b8cdae3138758506ef6860da37cc40aec1836bc0cd677c44dfc02b6464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511254",
    "kind": "arxiv",
    "version": 2
  }
}